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Finding the Fourth Proportional to 415,673.80, 623,802.30 and 266,277.40

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Solution

The fourth proportional to 415,673.80, 623,802.30 and 266,277.40 is: 399,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,673.80 : 623,802.30 = 266,277.40 : x
  2. Step 2: Convert to fraction form
    415,673.80/623,802.30 = 266,277.40/x
  3. Step 3: Cross multiply
    415,673.80x = 623,802.30 × 266,277.40
  4. Step 4: Simplify right side
    415,673.80x = 166,104,454,558.02
  5. Step 5: Solve for x
    x = 166,104,454,558.02/415,673.80
  6. Step 6: Final answer
    x = 399,602.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.